Highest Common Factor of 7008, 8895 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 7008, 8895 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7008, 8895 is 3 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 7008, 8895 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 7008, 8895 is 3.
HCF(7008, 8895) = 3
HCF of 7008, 8895 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7008, 8895 is 3.
Highest Common Factor of 7008,8895 is 3
Step 1: Since 8895 > 7008, we apply the division lemma to 8895 and 7008, to get
8895 = 7008 x 1 + 1887
Step 2: Since the reminder 7008 ≠ 0, we apply division lemma to 1887 and 7008, to get
7008 = 1887 x 3 + 1347
Step 3: We consider the new divisor 1887 and the new remainder 1347, and apply the division lemma to get
1887 = 1347 x 1 + 540
We consider the new divisor 1347 and the new remainder 540,and apply the division lemma to get
1347 = 540 x 2 + 267
We consider the new divisor 540 and the new remainder 267,and apply the division lemma to get
540 = 267 x 2 + 6
We consider the new divisor 267 and the new remainder 6,and apply the division lemma to get
267 = 6 x 44 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7008 and 8895 is 3
Notice that 3 = HCF(6,3) = HCF(267,6) = HCF(540,267) = HCF(1347,540) = HCF(1887,1347) = HCF(7008,1887) = HCF(8895,7008) .
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Frequently Asked Questions on HCF of 7008, 8895 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 7008, 8895?
Answer: HCF of 7008, 8895 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7008, 8895 using Euclid's Algorithm?
Answer: For arbitrary numbers 7008, 8895 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.